{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# concatenation of multiple registrations to link data across different images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import ants\n",
    "import numpy as np\n",
    "img1 = ants.image_read( ants.get_ants_data('r16') )\n",
    "img2 = ants.image_read( ants.get_ants_data('r27') )\n",
    "img3 = ants.image_read( ants.get_ants_data('r64') )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Segment image 1 and map this to image3 by way of image2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seg1 = ants.kmeans_segmentation( img1, 3 )\n",
    "ants.plot( img1, seg1['segmentation'] )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute quick registrations with SyN."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "reg12 = ants.registration( img1, img2, 'SyN', reg_iterations = [100,100,20] )\n",
    "reg23 = ants.registration( img2, img3, 'SyN', reg_iterations = [100,100,20] )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We concatenate the transformations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "mytx = reg23[ 'invtransforms'] + reg12[ 'invtransforms'] "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apply the concatentated transformations, taking care to invert appropriately."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mywarpedimage = ants.apply_transforms( fixed = img3, \n",
    "                                       moving = seg1['segmentation'] , \n",
    "                                       transformlist = mytx, \n",
    "                                       interpolator  = 'nearestNeighbor', \n",
    "                                       whichtoinvert = [True,False,True,False])\n",
    "ants.plot( img3, mywarpedimage, overlay_alpha = 0.5 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
